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Finding the Fourth Proportional to 160,655.45, 221,691.47 and 89,038.49

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Solution

The fourth proportional to 160,655.45, 221,691.47 and 89,038.49 is: 122,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,655.45 : 221,691.47 = 89,038.49 : x
  2. Step 2: Convert to fraction form
    160,655.45/221,691.47 = 89,038.49/x
  3. Step 3: Cross multiply
    160,655.45x = 221,691.47 × 89,038.49
  4. Step 4: Simplify right side
    160,655.45x = 19,739,073,289.49
  5. Step 5: Solve for x
    x = 19,739,073,289.49/160,655.45
  6. Step 6: Final answer
    x = 122,865.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.